document.write( "Question 547728: graph the function - label vertex and axis of symmetry
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document.write( "y=-(x+3)^2 + 5\r
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Algebra.Com's Answer #356537 by mathie123(224)![]() ![]() ![]() You can put this solution on YOUR website! So for any parabola, we have the following possible transformations:\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "where (h,k) is the vertex, and a is the dilation and reflection. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So from this we can see that (-3,5) is the vertex, and we are reflecting it along the x axis (since a=-1).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So we have y=x^2(the base function) to begin\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "And now we reflect it along the x axis \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "And we use the vertex point (or slide the whole thing to the left 3 units and up 5 units \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We can also make a table of values and check if they match with our graph. \n" ); document.write( "Hopefully this helps! \n" ); document.write( " |